Vertical and Horizontal Intercepts

Question

A tank with some water in it begins to drain. The function v ( t ) = 60 − 1.5 t determines the volume of the water in the tank (in gallons) given a number of minutes t since the water began draining.

a. What is the vertical intercept of ?

b. List all horizontal intercepts (or "roots") of .

Answer 1

a. 60 or (0, 60)

set t = 0 solve for v

b. 60/1.5 = 40 or (40,0)

set v=0, solve for t